According to a document filed in federal court, the plaintiffs told the company three times to remove the characters, but the owner Avi Lieberman replied that he would comply, but he didn't.

The trio of media giants are seeking damages "in an amount to be determined at trial," court documents state.

Lieberman told CNNMoney, "We have no comment in regard to that, because we haven't even seen the lawsuit."

On Thursday, Characters for Hire was offering an event on its web site called "Je'daii Training" that invokes the opening line from the first "Star Wars" movie.

"A long time ago in a galaxy far far away," reads the company's intro for its "Star Battle" sword fighting show, which it recommends for birthday parties, bar-mitzvahs and bat-mitzvahs, as well as bachelor and bachelorette parties.

The company also provides ninjas, zombies, exotic cars, parkour acrobats and auto show models.